100035754437241 has 16 divisors (see below), whose sum is σ = 115568006972544. Its totient is φ = 84818282673024.

The previous prime is 100035754437221. The next prime is 100035754437253. The reversal of 100035754437241 is 142734457530001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100035754437241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100035754437191 and 100035754437200.

It is not an unprimeable number, because it can be changed into a prime (100035754437211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184026430 + ... + 184569223.

It is an arithmetic number, because the mean of its divisors is an integer number (7223000435784).

Almost surely, 2^{100035754437241} is an apocalyptic number.

It is an amenable number.

100035754437241 is a deficient number, since it is larger than the sum of its proper divisors (15532252535303).

100035754437241 is a wasteful number, since it uses less digits than its factorization.

100035754437241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368596080.

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 100035754437241 in words is "one hundred trillion, thirty-five billion, seven hundred fifty-four million, four hundred thirty-seven thousand, two hundred forty-one".